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Finding the Fourth Proportional to 81,803.84, 122,711.62 and 21,832

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Solution

The fourth proportional to 81,803.84, 122,711.62 and 21,832 is: 32,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,803.84 : 122,711.62 = 21,832 : x
  2. Step 2: Convert to fraction form
    81,803.84/122,711.62 = 21,832/x
  3. Step 3: Cross multiply
    81,803.84x = 122,711.62 × 21,832
  4. Step 4: Simplify right side
    81,803.84x = 2,679,040,087.84
  5. Step 5: Solve for x
    x = 2,679,040,087.84/81,803.84
  6. Step 6: Final answer
    x = 32,749.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.